101100516 has 24 divisors (see below), whose sum is σ = 257347104. Its totient is φ = 30636480.

The previous prime is 101100499. The next prime is 101100551. The reversal of 101100516 is 615001101.

It is a junction number, because it is equal to n+sod(n) for n = 101100495 and 101100504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382825 + ... + 383088.

It is an arithmetic number, because the mean of its divisors is an integer number (10722796).

Almost surely, 2^101100516 is an apocalyptic number.

It is an amenable number.

101100516 is an abundant number, since it is smaller than the sum of its proper divisors (156246588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101100516 is a wasteful number, since it uses less digits than its factorization.

101100516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765931 (or 765929 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 101100516 is about 10054.8752354268. The cubic root of 101100516 is about 465.8553893172.

Adding to 101100516 its reverse (615001101), we get a palindrome (716101617).

The spelling of 101100516 in words is "one hundred one million, one hundred thousand, five hundred sixteen".